Eur. Phys. J. D 40, 387-397 (2006)
https://doi.org/10.1140/epjd/e2006-00166-3

Anderson localization of elementary excitations in a one-dimensional Bose-Einstein condensate

Laboratoire de Physique Théorique et Modèles Statistiques, Université Paris-Sud, bâtiment 100, 91405 Orsay Cedex, France

Corresponding author: ^a nicolas.pavloff@u-psud.fr

Received: 27 February 2006
Revised: 18 May 2006
Published online: 12 July 2006

Abstract

We study the elementary excitations of a transversely confined Bose-Einstein condensate in presence of a weak axial random potential. We determine the localization length (i) in the hydrodynamical low energy regime, for a domain of linear densities ranging from the Tonks-Girardeau to the transverse Thomas-Fermi regime, in the case of a white noise potential and (ii) for all the range of energies, in the “one-dimensional mean field regime”, in the case where the randomness is induced by a series of randomly placed point-like impurities. We discuss our results in view of recent experiments in elongated BEC systems.